The Golden Comet is a hybrid chicken that is prized for its high egg production rate and gentle disposition. According to recent studies, the mean rate of egg production for 1- year-old Golden Comets is 5.8 eggs/week. Sarah has 40 1-year-old hens that are fed exclusively on natural scratch feed: insects, seeds, and plants that the hens obtain as they range freely around the farm. Her hens exhibit a mean egg-laying rate of 6.5 eggs/day. Sarah wants to determine whether the mean laying rate u for her hens is higher than the mean rate for all Golden Comets. State the appropriate null and alternate hypotheses. O Ho: [ = 6.5, H1: [ > 6.5 Ho: [ = 5.8, H1: 1 > 5.8 Ho: U = 6.5, H1: 1 / 6.5 O Ho: H > 5.8, H1: | = 5.8A test of Ho: / = 42 versus H1: / / 42 is performed using a significance level of or = 0.01. The P-value is 0.143. If the true value of p is 42, does the conclusion result in a Type I error, a Type II error, or a correct decision? O Type l error Type ll error Correct decision O None of theseThe mean annual tuition and fees for a sample of 9 private colleges was $39,600 with a standard deviation of $5,200. Adotplot shows that it is reasonable to assume that the population is approximately normal. You wish to test whether the mean tuition and fees for private colleges is different from $36,700. Compute the value of the test statistic and state the number of degrees of freedom. 1.6?3; 8 degrees of freedom 0.558; 9 degrees of freedom 1.6?3; 9 degrees of freedom 0.558; 8 degrees of freedom In a simple random sample of size 91, there were 36 individuals in the category of interest. It is desired to test Ho: p = 0.58 versus H1: p 55 is performed using a significance level of or = 0.01. The P-value is 0.039. Is Ho rejected? It cannot be determined No O Yes